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cricket20 [7]
2 years ago
12

A human body that is performing light work generates about 650 BTUs of body heat per hour. If a storage room that is 20 ft × 25

ft × 10 ft is being organized by 4 people, how many BTUs per cubic foot do they produce in 4 hours? (to the nearest tenth)
Mathematics
2 answers:
lesya [120]2 years ago
5 0
There is 650 BTUs per hour/person and 4 people so that is a total of 2600 BTUs. In 4 hours it would be a total of 10400 BTUs. The volume of the storage room is 20 x25 x10 ft or 5000 cu ft. So 10400/5000 = 2.08 BTUs per cubic foot. 
Gekata [30.6K]2 years ago
5 0

Answer:

you are correct but you'll have to round it because the answer doesn't show that so it'll be 2.1 BTUs/ft3


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Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(
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The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

2x^3 +18x^2 - 18x - 162

The factor of the polynomial equation are given as,

2(x+ k)(x - k)(x +9)

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)

Take out the highest common factor to make the groups as,

2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)

Use the property of difference of the square for the (x²-3²) term as,

2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

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